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TPF-C Technology Plan - Exoplanet Exploration Program - NASA

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Chapter 7<br />

7.3 Error Budgets<br />

7.3.1 Dynamic and Static Error Budgets<br />

Scope<br />

Current work is focused on adding new modeling capabilities and validating those capabilities in<br />

testbeds. Required models not presently in hand include: models of coating non-uniformities<br />

across large optics, stray-light and scattered light models validated at 1 × 10 -11 fractional<br />

scattered energy, and wave-front sensing and control models that demonstrate the ability to<br />

identify speckles at the 1 × 10 -11 level.<br />

Presently, there are no models of coating non-uniformities related to large-scale anisotropies in<br />

the deposition process. These effects might limit the useful optical bandwidth. Stray light<br />

models treat forward-scattered light as being uniformly shifted in phase relative to the nonscattered<br />

beam. This approximation must be validated or superseded by new models. Stray-light<br />

(multiply-reflected from baffles, edges, etc.) is calculated using standard stray-light software, but<br />

the accuracy of the calculations at the 1 × 10 -11 level has never been validated.<br />

Model validation for these new models and for existing ones (see below) is of the utmost<br />

importance. The HCIT is used to verify/validate the models that are used to predict<br />

requirements. These include diffraction, stray-light, scattered-light, polarization, mask<br />

performance, and pointing. In contradistinction, the planned subsystem testbeds, namely the<br />

sunshield, primary-mirror stability, secondary tower, and pointing-control testbeds, are used to<br />

verify that dynamic requirements can be met. Unlike HCIT they do not verify models that are<br />

used to predict the fundamental engineering requirements.<br />

The schedule for the dynamic and static error budgets is given in Table 7-1.<br />

State of the Art<br />

TRL N/A<br />

Static error budget terms are based on near-field propagation models, mask non-uniformity<br />

models, polarization ray-trace, and bidirectional reflectance distribution function based<br />

particulate-scattering models. The near-field propagation is calculated over the full bandwidth<br />

(500-800 nm) and includes the power spectral density (PSD) profiles for surface phase and<br />

amplitude. Mask design models evaluate complex transmission errors arising from design<br />

limitation and manufacturing errors, leading to derived requirements on substrate transmission<br />

PSD, lithographic/e-beam accuracy, and material dispersion. Ideal coronagraph mask<br />

performance is based on Fourier-plane (image/pupil conjugate) computations that have a noise<br />

floor better than contrast = 1 × 10 -13 . Polarization ray-traces are used to determine crosspolarization<br />

level, the effectiveness of coating designs, and tolerances on those designs. Scatter<br />

models assume that forward-scattered radiation dominates back-scattered radiation and is<br />

coherent with the specular beam. At present there is no wavefront sensing and control model per<br />

se. Instead, a WFSC performance limit is assumed, consistent with results obtained in the HCIT<br />

testbed extrapolated to a more stable environment.<br />

108

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